If the numerator of fraction is increased by 200% and the denominator is increased by 350% . The resultant fraction is 5/12 . what was the original fraction?
Created: 5 years ago |
Updated: 8 months ago
best des
Let the original fraction be x/y.
According to the problem, when the numerator (x) is increased by 200%, it becomes 3x, and when the denominator (y) is increased by 350%, it becomes 4.5y.
So, the new fraction is 3x / 4.5y, which simplifies to (2/3) * (x/y).
Given that the new fraction is 5/12, we have:
(2/3) * (x/y) = 5/12
Now, cross-multiply:
12 * (2/3) * (x/y) = 5
Simplify:
8 * (x/y) = 5
Now, isolate x/y:
x/y = 5/8
So, the original fraction x/y is indeed 5/8.
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